Application of Probability

What is the probability of rolling a 4 on a fair 6-sided die?

• 1/6

• 1/4

• 1/3

• 1/12

If the probability of an event occurring is 0.35, what is the probability that it does NOT occur?

• 0.55

• 0.65

• 0.35

• 0.15

A school has 300 students. If 180 students play sports and 90 also play an instrument, what is P(Instrument | Sports)?

• 1/3

• 3/10

• 1/2

• 2/3

A coin is flipped, and a 4-sided die is rolled. What is the probability of getting tails and rolling a 3?

• 1/4

• 1/6

• 1/8

• 1/12

A survey records students' preferred lunch options. If 40 out of 100 students chose pizza, what is P(Pizza)?

• 0.4

• 0.25

• 0.6

• 0.75

If the probability of event A is 0.3 and the probability of B is 0.5, what is P(A and B) if A and B are independent?

• 0.2

• 0.8

• 0.1

• 0.15

A deck of 52 cards has 13 hearts. If you draw a heart, what is P(it's a face card)?

• 3/13

• 1/4

• 4/13

• 1/3

Which formula is used to calculate conditional probability (Bayes' Theorem)?

An insurance company calculates the chance of an accident based on past data. What probability type is this?

• Theoretical Probability

• Complementary Probability

• Independent Probability

• Experimental Probability

In a Venn diagram, what does A ∪ B represent?

• Only elements in A

• Only elements in B

• Elements in A and B

• Elements in A or B